Determining stress during finger propagation in 2D foams

A.D. Staicu, Bas van Gelder, Sascha Hilgenfeldt

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Abstract

We investigate the formation of fingering patterns in a radial Hele-Shaw cell filled with quasi-two-dimensional polydisperse foam of very small liquid content. Air is used as the low-viscosity driving fluid. Using high speed imaging (up to 2000fps), we directly observe the topological rearrangements on the size scale of single bubbles at the air-foam interface. We find that the growth process of the finger can be discretized as successive elementary T1-type edge exchanges between neighboring bubbles at the interface of the advancing finger. Apart from the rate of T1 events, other statistical quantities can be determined with good spatial resolution using a coordinate system moving with the finger. Measures of local bubble anisotropy (such as the texture tensor) and connectivity are used to determine the deviatoric stress tensor in the material. The data are compared to continuum results in the viscous liquid and elastic solid limits, shedding light on the continuum behavior of foam as a viscoelastic material.
Original languageEnglish
Title of host publicationMechanics of the 21st century: 21st International Congress of Theoretical and Applied Mechanics
EditorsWitold Gutkowski, Tomasz A. Kowalewski
Place of PublicationBerlin, Germany
PublisherSpringer
Pages-
ISBN (Print)9781402035593
Publication statusPublished - 21 Aug 2004
EventXXI International Congress of Theoretical and Applied Mechanics, ICTAM 2004 - Warsaw, Poland
Duration: 15 Aug 200421 Aug 2004
Conference number: 21

Publication series

Name
PublisherSpringer

Conference

ConferenceXXI International Congress of Theoretical and Applied Mechanics, ICTAM 2004
Abbreviated titleICTAM
CountryPoland
CityWarsaw
Period15/08/0421/08/04

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Keywords

  • IR-101664
  • METIS-223854

Cite this

Staicu, A. D., van Gelder, B., & Hilgenfeldt, S. (2004). Determining stress during finger propagation in 2D foams. In W. Gutkowski, & T. A. Kowalewski (Eds.), Mechanics of the 21st century: 21st International Congress of Theoretical and Applied Mechanics (pp. -). Berlin, Germany: Springer.